{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pyccl as ccl\n",
    "import py_cosmo_mad as csm\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import ticker, cm\n",
    "\n",
    "from mpl_toolkits.mplot3d import axes3d\n",
    "#from matplotlib.ticker import LinearLocator, FormatStrFormatter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set up cosmologies in CCL\n",
    "p1 = ccl.Parameters(Omega_c=0.25, Omega_b=0.05, h=0.7, sigma8=0.80, n_s=0.96, w0=-1.0, wa=0.0)\n",
    "p2 = ccl.Parameters(Omega_c=0.25, Omega_b=0.05, h=0.7, sigma8=0.80, n_s=0.96, w0=-0.9, wa=0.0)\n",
    "p3 = ccl.Parameters(Omega_c=0.25, Omega_b=0.05, h=0.7, sigma8=0.80, n_s=0.96, w0=-0.9, wa=0.1)\n",
    "p4 = ccl.Parameters(Omega_c=0.25, Omega_b=0.05, h=0.7, sigma8=0.80, n_s=0.96, w0=-0.9, wa=0.1)\n",
    "p5 = ccl.Parameters(Omega_c=0.25, Omega_b=0.05, h=0.7, sigma8=0.80, n_s=0.96, w0=-0.9, wa=0.1)\n",
    "\n",
    "p1.parameters.Omega_g = 0\n",
    "p2.parameters.Omega_g = 0\n",
    "p3.parameters.Omega_g = 0\n",
    "p4.parameters.Omega_g = 0\n",
    "p5.parameters.Omega_g = 0\n",
    "\n",
    "p4.parameters.Omega_l = 0.65\n",
    "p5.parameters.Omega_l = 0.75\n",
    "\n",
    "# define the cosmology model to use\n",
    "p = p1\n",
    "fname = 'model1_xiRSD.txt' # filename for writing benchmark data\n",
    "cosmo = ccl.Cosmology(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "nk = 10000 # No. of points in k\n",
    "ns = 5000 # No. of points in s\n",
    "k_arr = np.logspace(-4.7,5,nk)\n",
    "s_arr = np.logspace(-1,3,ns)\n",
    "a = 1.0 # scale factor\n",
    "h = 0.7 # Hubble"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "# CCL power spectra\n",
    "pk_lin = ccl.linear_matter_power(cosmo, k_arr, a)\n",
    "pk_nl = ccl.nonlin_matter_power(cosmo, k_arr, a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "# write power spectra to files to be read by CosmoMAD (Note: k is in units of h Mpc^-1 in CosmoMAD but Mpc^-1 in CCL)\n",
    "file1 = open('pk_lin.dat','w') \n",
    "for n in range(nk):\n",
    "    file1.write(str(k_arr[n]/h)+'   '+str(pk_lin[n])+'\\n') \n",
    "file1.close()\n",
    "\n",
    "file2 = open('pk_nl.dat','w') \n",
    "for n in range(nk):\n",
    "    file2.write(str(k_arr[n]/h)+'   '+str(pk_nl[n])+'\\n') \n",
    "file2.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "beta = 0.512796247727676\n"
     ]
    }
   ],
   "source": [
    "# Input CCL P(k)'s to CosmoMAD \n",
    "pcsp=csm.PcsPar()\n",
    "oc = p.parameters.Omega_c\n",
    "ob = p.parameters.Omega_b\n",
    "s8 = p.parameters.sigma8\n",
    "ns = p.parameters.n_s\n",
    "w0 = p.parameters.w0\n",
    "wa = p.parameters.wa\n",
    "pcsp.background_set(oc+ob,h,ob,w0,wa,h,2.725);\n",
    "pcsp.set_linear_pk(\"pk_lin.dat\",-5,1,0.005,ns,s8)\n",
    "pcsp.set_nonlinear_pk(\"pk_nl.dat\")\n",
    "\n",
    "beta = pcsp.f_growth(a) # we assume bias = 1 and get growth factor from CosmoMAD\n",
    "print('beta =', beta)\n",
    "pcsp.set_Pk_params(beta,pcsp.growth_factor(a)/pcsp.growth_factor(1),1.0,4);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculate correlation function in CosmoMAD (Note: s in in units of Mpc/h in CosmoMAD but Mpc in CCL)\n",
    "def xicosmomad (s_arr):\n",
    "    xi = []\n",
    "    for s in s_arr:\n",
    "        # xi.append(pcsp.xi_multipole(s*h,0) + 1./4*pcsp.xi_multipole(s*h,2) + 9./64*pcsp.xi_multipole(s*h,4))\n",
    "        xi.append(pcsp.xi_multipole(s*h,0))\n",
    "    return np.array(xi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max frac diff for s = 0.1-100: 0.002365775516637081\n",
      "Max frac diff for s = 50-250: 0.005154620783096142\n"
     ]
    }
   ],
   "source": [
    "# Plot relative and absolute differences\n",
    "frac_diff1 = []\n",
    "frac_diff2 = []\n",
    "abs_diff1 = []    \n",
    "abs_diff2 = []\n",
    "\n",
    "s1 = np.logspace(-1,2,40)\n",
    "s2 = np.logspace(np.log10(50),np.log10(250),100)\n",
    "\n",
    "xi_ccl1 = ccl.correlation_3dRsd_avgmu(cosmo,a,s1,beta)\n",
    "xi_cosmomad1 = xicosmomad(s1)\n",
    "\n",
    "xi_ccl2 = ccl.correlation_3dRsd_avgmu(cosmo,a,s2,beta)\n",
    "xi_cosmomad2 = xicosmomad(s2)\n",
    "\n",
    "for i in range(len(s1)):\n",
    "    frac_diff1.append(np.abs(xi_ccl1[i]/xi_cosmomad1[i] - 1.))\n",
    "    abs_diff1.append(np.abs(s1[i]*s1[i]*(xi_ccl1[i]-xi_cosmomad1[i])))\n",
    "    \n",
    "for i in range(len(s2)):\n",
    "    frac_diff2.append(np.abs(xi_ccl2[i]/xi_cosmomad2[i] - 1.))\n",
    "    abs_diff2.append(np.abs(s2[i]*s2[i]*(xi_ccl2[i]-xi_cosmomad2[i])))\n",
    "    \n",
    "\n",
    "# esthetic definitions for the plots\n",
    "matplotlib.rcParams['mathtext.fontset'] = 'stix'\n",
    "matplotlib.rcParams['font.family'] = 'STIXGeneral'\n",
    "matplotlib.rcParams['font.size'] = 14\n",
    "\n",
    "plt.plot(s1, frac_diff1, 'b-')\n",
    "plt.plot(s2, frac_diff2, 'r-')\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.xlabel(r'$s$ (Mpc)')\n",
    "plt.ylabel(r'$\\Delta \\xi(s) / \\xi(s)$')\n",
    "plt.grid(which='major')\n",
    "plt.title('Relative difference') \n",
    "#plt.savefig('benchmark_rel.pdf',bbox_inches = 'tight')\n",
    "plt.show()\n",
    "#print frac_diff\n",
    "print(f'Max frac diff for s = 0.1-100: {np.amax(frac_diff1)}')\n",
    "print(f'Max frac diff for s = 50-250: {np.amax(frac_diff2)}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4wvnTn8KSJeFvTb2tWhVqK3379rx1dsLy5eG6KcuWdf28dGmoMUXDqQcODKv+HnhgCJ+DDoIBAyp3HjJZvBhuuSXM1H/rrVCD+9KXQvPi9ttXu3QNZJ99YNUqOkftSJ+57zD4jl/h226GfeuK2ngjFOL110O/zE03hVm5p59esW9RCpoyi0Jm/frCm6RWrgz3S5aUpyz5Np2tXx8+mGtp0ubTT4dyHXxw9v169w61v003DSvylsucOeFL31/+Eu6vvDLUFoYMgU9/Gi64oFsTfsW8+mqYfPvrX4emwA9+MHx2nHRS4zQB1pwBA+gz9XHu/cHrTLjpOOyaq2H2rDA2fOutq126/MyeHdqd33svXEAIKjqGvc7rf7UlCpkDDghLvETBka84gqZ37x4DaLqp1bk0U6eG1on996/O6w8fHvpJf/azUMNZsiQsw3LooWGRye23D0v5TJkS/1px7vD442Fo9847w29+E0aMvfhi6LP++McVMrEbPZrjJh7b9fvvfx9Svl5ss00ImdRtFaKgKZPkkHnwwdC3Vu2gWbQo1GayNScnL0NTS6ZOhb33Dh32tWDwYDj66NDRPmNG6Fx/5pkwi36nnUIglXuk6Lp1cPvtofXmsMNC0+q3vx2+nF5/Pey2W3lfT7Lr0wdevuvVrg2zZoV+nHqloKkv6UKmtbXwoFmxItyX6/I42VYFiNRijaajA/72t9zNZtUyYkRYB2zWrFC7GDIkXKtl2DCYMCHMUVm9urjn3rAhNBt+9athUMLpp4fh3P/7vzBzZliBO9e/qcRn15PGdN/wwAPVKUg5KGjqx2OPbd4jZCAETRQc+Yqj6SzbQADoWh2gloLm2WdD2Bx0ULVLkl2/fiEInn46DFz4/Ofh738PTW7DhnVdaCvXpPKODvjTn+D880PwH3BA6IfZeeewcvLLL4d+oYZfd6xOdHzpsu4bvvvd2l5482c/67ltypTwIVUhGgxQgkmT4Mord+bAA7uHDBRXo4mj6SxX80q0OkAtNZ1NnRru66kJfK+9wu3qq0N/ym9/G0au3XJLGGQxYkQIpn79QmBE96tXh+HJ0VSGY44JtaKjj87etybV0++aK3nqWefAJ74XNnz96+Efbu+9q1uwTL74xZ7bjjiiokVQ0BTp3XfDUNJdd13Kgw9u3GO+Uy0ETT5NZ1B7qwNMnRqufVKPTUS9e4f5K4cfDr/8ZaiR/PGPoR+2oyPcli8P92vWhGM+/vEQLocdpk79erH3uD7wRNKGxYurVpas1q6tdgkABU3RhgwJzSKLFr3EoEE923haWwvvHC5n0KxfH14/V9MZ1FbQdHbCX/8Kn/hEtUtSugEDwgXETjml2iWRchvwtYt57c6/MWbmlLDh0ktDjaYcM63LKXWkGXSNAKog9dGUYNw4GDAgfQN8tUedvftuaDbOJ2hqaRmaF14I3/hrvX9GmlxbG4Pu/W3X79OmhaUqak1qTWvXXcOokgpr6qAxs+PN7Mal5RrmlaTaTWf5TNaMJK8OUG1R/4yCRmrdiD02ZcoHPte1YcGC6hUmnaVLu3fSnnAC/PnPVVlTqamDxt0nu/t5bW1tZX/uUoKmHLmXzzpnkWh1gOiYapo6NUyGHDGi2iURycGMoZN+3vV7rQXNQw91n0185JFdw0wrrKmDJk6lDG9etqz02eb5rHMWiebSVLv5zD3MdFdtRurFHnvA5Xv/iTd6jwnNZ7/4RbWL1CV1Mtd//Vd1yoGCJjatrWFUUSHNUVHQuIewKUWhTWdQ/QEBr74ampRrdaKmSDofuubDHLv+PhaM3DcMJX711dwHVcLs2V0/L1oUlpioEgVNTKK5UKtW5X/MypVdk/JK7acpJGhqZRmaqH9GQSP15NBDYaO9d+BUuzN8s/x//y+sU1RtyZ3+Q4ZUrxwoaGITBU0h/TQrVoTFHKH0oFm0CNrawoTMXGpldYAnnwyhN2pUdcshUggz+MpX4InpiZWcp0yp/pj2zs6w3MSwYWEyV5WvdqegiUk0gTPfoNmwITSplito8p2sCSGMNt+8ukHjHi7TfNBBVf8/IVKwk06C7bZLeuM+91yYqVtu+Y4Uuvba8B/6tNPCst9VpqCJSaE1mqiJrZxBk89AgEi159LMmBGuAaNmM6lHffrA//wPnMbvuzZOmFDeF3nxxbAu0e9/n3vfxx+H7baDn/ykvGUokoImJoUGTbRf1DFf6hDnQoOm2qsDqH9G6t3ZZ8Ojm57Go1ufGc8L/Otf4f7OO7Pv5x5Wej300JppHlDQxCQKmnyHOEdBU84+mkLWCos7aNasCf8Rv/e9cOnhVE8+CZtsEtY4E6lHra3wuc/Ba7OTVkU+4IDyrTcWzXlYvjz7fnPmhKVBxo4tz+uWgYImJqXWaEoJGvfims7mz49vdYDnnw8rGV92GeywQ1gW6vvfh7ffDo9PnRpWa852kTaRWvfZz8JGlvTt8umn4Z13yvPk0VDSXEETDWuu4KWac9F/65gUGzQbbRRupQTN8uXhS1ShTWdxrg4QjfZ86KFwKeS+fcM6hKNHh9B58001m0n923xzmH7A6d03lmuJq2jlgenTM38jdId//jP8XEPLayhoYlJs0LS2hv6+UoImWhWgkKazuOfSREFz0EGh0/SZZ8K2H/4whE5LS7gGi0i92/MrR3I0D3ZtKNc1vqNvgfPnh/846dx1F1x4Yfh5663L87ploKCJSaHDm8sZNIWscxaJe3WAGTNgiy1g4MCubdtuGxa8feaZ0Iej/hlpBEcfDes3TvqWd/jh4doXpXj6abjpptDuvMUWYQRaOtGAAaipK+cpaGJSSo2mra0xg2bkyMyPq29GGkVLCxw8IWUmfqlroF1/fbh/882w6mymBTyTFwiukRFnoKCJTUtLuOU76izar5xNZ4UEzdCh4T6uprOZM2uqb1IkVh85d2j3DYMHl/aEUTPYNdeEGk2mztTog+Tuu0t7vTJT0MSokEsFpDadldJ/WMg6Z5E4VwfYsCEETbYajUgj2f2AQey5W1KHfanX6F69OrTHf+lL4T9qphrN8uXhtT760dJer8yaOmjivPAZlBY0pTad9evX1U+Ur7jm0syfDx0dChppLmeclfTxmu6SyoVYtaqrgzOq0bj33G/58tJrTzFo6qCJ88JnUHjQ9O4dahZRjabYa9IsWhS+9BTaRBvXMjTRiDMFjTST05NHOf/613DVVcU/2erVMGBA+HnzzcOimem+jSpoms+gQYUFTWtrCIeNNw4hU+iF0yKFLKiZLK4ajYJGmtHQoXDhIf/i3V6bhg2XX178k61a1T1ooGc/jXsIHwVNcym0RhM1dUWjEottPit0VYDIVlvBvHnlXx0gChoNBpBmc9jndmb9hjKM/lq9uqvpLPoWmRo0H/84PPCAgqbZFBo00ZDoqCWv2KCJms4KteWWoSZV7tUBZswI5Yn+PpFmcfzxML93Yu5AKWP4k2s00TfR1L7laFXnPn2Kf52YKGhi1Npa2KKa0QdxOWo0xTadQfmbz3LNoRFpVP36we8+fj9T7ZDwLa7YgUfJNZpMQROJax2pEihoYlRsjSbX+yibjg5Ytqz4Gg2Uf0CAgkaa2Uc+uzXXeWJZmGgdskKlq9GkfhON5trMm1fca8RIQROjUoOmmBrN4sXhvtg+GihvjUZzaKTZ7bsvzB19MItbhsI556QflpxLuhpNpqAp19pqZaSgiVEhQbNiRXmCppjJmpFhw8J9OYNGc2ik2ZnBsecM48vrroK332ZQdG2MQiTXaPr3D/MgUj8g+vcP91OmlFbgGChoYjRoUFgsMp9RXOUaDFDMOmeRlpZwXDmbzjS0WQQ+8Ql4gOMAGPK3vxX+BMnzaCD98iEdHeGqmkccUUJJ46GgiVEUHKtW5d43OWj69AkhVemggfLPpZk5M9xraLM0sxEjYI8jtmBu7+EMmF3EhdCSVwaA9MuHdHSUvtRNTBQ0MSrkcs7JQQPFr+BczLVokpU7aDSHRiQ480x4Y/0o7JVZoYaSL/eeNZp0HxAKmuaU76UCNmwIX1iSg6bY9c4WLgxtwkOG5N43nXIvQzNjRgi9QtddE2k0J54IbXttz7DZr8Bee+V/4Jo14T5XjWbtWgVNM8o3aKIvN8kfxsWu4LxwIWy6aVg3rRjlXh1AQ5tFgoEDYc+9E/8xX389/wOjtvfUPhrVaATyD5rklZsjxdZoFi0qvtkMQtBs2JB5FfJCKWhEkpxwQuHHPP10uN9hh65tbW3pBwMoaJpPNYKm2HXOIuWctOmuOTQi3Rx/PHMmTOh+Jcxc7r4bNtkkXBI6ohqNRKKmsHoKmnJO2pw/PzQvK2hEuqwbPDjURm6/Pb8DZs+GnXYKc2cibW3hP1dHR9c2BU1zKkeNptBJxKU2nZWzRqM5NCI9dUbfQE8/Pb+5D+vWhUluydKtU6WgaU75Dm+OHk8d3rx+ff4rC0DoW1m8uLQaTTlXB1DQiPTUmfwfPZ//4OmCJmp6i4Jmw4ZwMTQFTfMptUYDhTWfvfdeCKdSgqalJVwptpxBozk0Il3WJw8vzadG09mZu0YT/a6gaT7lCJpChjiXOlkzUq65NJpDI9JTWWs00TfR5cvDvYKm+bS0hFulajSlLj8TKdfqADNmqDYjkqqooEm9mFmmb6IKmuY0aFD+QZM6YRPqO2g0tFmkpw3JtZPvfCf3cjT51GgiCprmlM+lAspVoyln09n8+ZlXB1iyJLz3s3HXZE2RdNZEcwgAJk+G730v+wH5jjqD7kOga0hDBY2ZDTOzP5jZTDP7VrXLA/kHTe/e3d8j1a7RZFod4I47wuOXX579ORYs0BwakXTWDxwIL73UtaGYGk207lnqsWvXll7AGNRM0JhZfzMrYLpsWocCpwK7Aeeb2call6w0ra25hzdHKzebdW0r5po0CxeG5rfo+kfFSjdpc8MG+MY34LTTwnD9O+/MPsdHQ5tFskhuvkhewyyddKPOosUMU5sWilkgsQKqHjRm1svMzgTeAMalPDbczCaa2QVmdpuZ7Zrj6e529053Xwa8AhSwFnc88q3RJL/vINRuBgwovOms1GYz6Dlpc+VKOOWU0Jx89tnw4x+HIHnttczPoaARySJ5JeZcQZNuMECvXuHW2dl9ezT6rMZUPWiAzYAngK2TN5qZAfcB97j7ROD7wGQz69PzKQJ3X5s4dnPgEXfvyLRvpRQbNFD4MjSlLj8TSa7RzJwJBx4I994bAub//i8sdw7w4IOZn0NzaESySP4Pn6sDP13TGYRtqTWaz32u9LLFoOpB4+4L3H1GmocOB3YG2hP7vQKsAyaY2ZFm9kia20aJgDoe+EGF/oSs8gmaFSsyB00hNeFyBc3QoaEZ7/77Yd99Yfp0eOABuOiisH2bbWDXXcO2TGbMCJcrGDy49PKINJzkGk2ufpVMQdOnT1eNpndvuOyy8J+uBmWsHdSAA4HpUS0l4Q3gMHe/EJiS7iAz+ygwyd3Xm9nW7j67AmXNKN/hzeWq0ey2W2HlS6elJQTW5MkwejS0t4c1/ZIdc0yo4SxbBhtt1PM5NOJMJIteSd/xowubZZKtRtPZGTpL16/v2bxWQwoqmZltBpwFnASMAgYDc4DngVvcPUtjSsGGAanf55cAI7KU7wLgEmC5mfUFPgukDRozOw84D2Do0KG0t7cXVcgVK1ZkPXbJkh1YsmQL2tufyrjP3Ll709raSXv7i922b9iwG7Nnt9De/nxeZVmw4CBWr/4P7e1v57V/NnvsMYYVK/pwySWvMX9+J/Pnd398yy3b6Ozci5/85GUOOWRRj+NfeWUcI0euor39XyWXJdc5lvLQea6M6DyPT/w+6/XX+Xem8+7O+M5OZsyZw4yUfQ5wZ+GMGbz52GOMB6bPmsXMWv33c/e8bsCZhFrEd4GPAccCHwJOBC4AbgMmAZvm+5wpz+/A4Um/XwdMTdnnduC+Yp4/222fffbxYj3++ONZH//yl9379cv+HLvu6j5hQs/tH/uY+w475FeOFSvcwf37389v/1KtXeve1ub+qU/1fGzDBvf+/d0vvrg8r5XrHEt56DxXxvvnOdRF3IcPd3/99fQ7r1sX9vn2t3s+tuWW7uee697REfa58srYypwO8Jzn+RmbV41T3vtTAAAYp0lEQVQmUVOY6e5HZtltopltCXzFzK5w91JHfM0FDkrZtjEwq8TnrajW1jAceP36zJdXXrky/XpgbW35N52Vaw5Nvlpa4Mgjw4AA9+5DszWHRqQAc+bAHnukn08TdfZn6qNZt657P02NyjkYwMw2BZ70PJrF3H0ucDlhHkupHge2N7PkMo4hMTigXuSzsGauPpp8rklTrlUBCnHssTBvHvzjH923a8SZSB4WL+7q4MzUT5MtaKI+mmgJj3oOGndf7O4vQ+ijMbMvmdnTZrbAzFab2VtmdoeZHZPYv9Pd/15IIVLCJPI0MBNCU6aZjQFagcmFPHeO1z3ezG5cGuMkp1KDZt263BOHofI1GoAPfzjcpw5znjkz3KtGI5LFkCG5O/DzqdFEQVPDgwHyHt6cmFR5O6H56mfA2cBxwJcJtY//NrNJiRpQ3sxsC0IHPsDpZrYTQKIN8ATgTDP7LHApcJy7F3ApsOzcfbK7n9dWyPW7C5QraNzDJSkyBQ3kN8S5GkEzdCiMG9dzmLNqNCJ5ymfEGWQf3lwHTWdV76Nx9wXAVYlb6mNvEwYhAPwin+erNVHfS6agWb06hE22oFmypGu2fibVaDqDMMz529/uvirBjBnhy1q6Yc8ikqQjMac802KYuZrOkms0NRw0tdxH0xBy1WjSrdwcKWRhzYULw/suxspZWsceG4Ly4Ye7tmkOjUieopDItAxNVFtJ1ywW1WgaoeksuY8mYmYDs+xfcB9NI4sCJNPCmtH2dEFTyMKaCxeGGkXy6K9K2GefcOnn5OYzBY1IgTIFTT6DAeqg6azYJWheN7MTARLLvtRlDaYWBgOUq0ZTrgU1C9WrFxx9NDz0UPhipevQiBShmKBJHQzQgEHzdXe/x8w+CbwD3G9mPyxjuSqiFgYDlLPprJIDAZIdcwy89x4880wox+rVChqRgpRSo2mEprMMjjWz+4Frgc+4+7aEZWgkRTMEzZFHhi9TDz6oywOIFCVTSDTLhM0MLiEs4b+zu9+e2LZveYrUWPINmnQrA/TvH1YQz6dlr1pNZxAC8cADQz+NgkakACefHO47MlzRJAqadEHUSBM203H3t939RnefZ2YtZvYVYMcyl60hlFKjgfxWcF63LjRdVatGA6H57IUX4KnE2qGaQyOSh0mTui5bm05UW2n0CZtmNsjM0vyVgbuvc/er3f2YpGM2KVcB611LSxgin2nUWTmCZvHicF/NoDn22HB/662aQyOSt169wkWbctVo6nzCZj41mjXApWaW1yWszOwsYHQphaqUSow6g+wXP8sVNPksrFmtyZrJdtkFtt46NPOpNiNSgH79wnXTr7uu52PNMmHT3TuBXwK3mtmFZrZ96j6JNdBOMLN7gCXu/mwMZS27Sow6g9KCJp8aTTWWn0ll1lWrUf+MSAGiSzl//vM9H8unRtMITWcA7r4IOBXYBGg3s47EoppzzWwV8DZhXbIvuvu98RW3PuUKml69Ml82vF6CBkI/DShoRAqS6T8/5DcYoA6azvKOQHfvNLNbCWuS7Q5sA/QjXMHyJXdfFU8R61+2oFmxIjyeaUZ/PkFTC01nAIcdBh/4AByUehUhEcksn6Cp8wmbeQeNmRnwMrA18H3gBHdfG1fBGsmgQdlrNJmazSAETa4upLlzQ1BtWtC62eXX2gqvvVbdMojUnWxBE33LHJhm1a8GnbDZH3iSMIx5D8JFyN5nZt8xs9+b2aVmVuXv1rUlV9NZrqBZsyb7auL//CeMGZP+S4+I1LhMKzcDPPZYWLo9XXt0g07YPAGYCuwN/BFYlPL4Z4BPAD8Abi1L6WJWyVFn2YY3p5usGcnnmjTTpoXFLUWkDmX7Fvnoo2HpjXRt6w06YfN+YBnwGvASIXiA95vVNkqMUNsJGFvOQsalVkadZavR5FrBee7ccFPQiNSpbJfffffdMG8gnTqasFnIYIAVwA2JX580s3Fm9m3gHuAQYF5iv3+Z2S5lL2kdyxU0g7PMUMq13tm0aeFeQSNSp1ZlGUflHoalplNHEzaLjkB3f9bM3iA0lw0DPpr0WGqzWlPLFTTDhmU+Np+gMYO99iqtjCJSJdmu8w6Zg6alJdRm6iBo8mo6S1xzpiXp9xFm9iF3X+ruv3D3S9x9WnzFrG+trWGFiaiGmyyfwQCQPWjGjMnezyMiNezii7t+3rCh58+Z5j5ETWXR8jU13HSWz1pnVwCvA38ys0vMzNz9HeAXcReuUUQhkO6LSzmCRs1mInXsAx+AK68MP0fzZqAraLLVaKBrMEEN12jyicAzgR3dfXli2PKZZnYHsC7HcZKQvIJz6mKT+QZNulFnc+fCf/6joBGpe1ForFvXNa8mV9NZao2mhoMmn6az54GVEPpe3P0W4ChAjTV5ioIkdYize+6gGTAgvAfT1Wg0EECkQSQHTSRX01lqjaaem86AC4FTzOz9v8Ld7yHMl6lrlZxHAz2bzlavDmGTLWjMMq/grIEAIg0iW9DkqtHUQdNZPqs3z3f3SYk5Msnbr4+vWJVRyXk00DNocq3cHMm03tm0aaF5VwMBROpcuqDJ1XQWrSgQDY+u56BJx8zSLLwjmeQKmlxBkS1o1Gwm0gCKqdFEHyzLloX7Om86S+d1MzsR3h/6vFsZy9Rw4qjRzJungQAiDaOYPppopvfPfx7uG61GA3zd3e8xs08C7wD3m9kPy1iuhpJpeHMpQaOBACINJKqNFNJ0ltoU0oBBc6yZ3Q9cC3zG3bcljE6TNDKNOiskaFLHK2gggEgDiWo0nUld4bmazlKDpgGbzi4B7gN2dvfbE9v2LU+RGk8cTWfRQIBs66SJSJ0opeksUsM1mpwRaGaDgA53f/8MuPvbhMs3k1ia5iLCdWqiYzZx9/fKX9z6VGrQtLWFgSVr13YNNJk2DcaPL2sxRaRaihl11mBNZ2uAS80s7Xdnd1/n7le7+zEAZnYWMLp8Rax/ffqEgCilRgNdzWfz58OcOeqfEWkYxYw6a6Sms8T8mV8Ct5rZhWa2feo+ZraZmZ1gZvcAS9z92RjKWnaVmrAJ6Vdwjvps8g2aqPlMAwFEGkwxTWfJQdPamjmQakBeJUss+38qsAnQbmYdZrbAzOaa2SpCM9oJwBfd/d74iltelZqwCeE9UWqNJgqa557TQACRhlJM01lyU9ny5fGUq0wKufBZJ3ClmV0F7A5sA/QDZgMvuXuWq/dIuhrNypUhMPr3z35suhrNjjtqIIBIwyim6SxZplpPjSi4Uc/dHXghcXufmR3g7n8tV8EaTWtr+uHNgwblfo+k9tFMmwaHHFL+MopIlRTTdFZHSmrUM7MWM/ukmT0LTC1TmRpSphpNrmYz6F6j0UAAkQYUBc1rr3VtK6RGU+OKXetsaOKCaLOAm4EhQP3HboxKCZqoC2nJEg0EEGlIUdBcdhksXBh+ztVHU0cK+gvMbJyZ/QaYCVxACJntgWtiKFtDKSVoBg0K77XkoNFAAJEGEgUNdC37n0/T2bx5oZmjxuXVR2NmHwO+QJj9/zfgHOBOd1+beNxjK2GDKCVozLpWB3jnnTAQIPVKnSJSx5KDJuqnyafpbOjQ+MpURoUMBlgPTAI+5+7vxlSehpVpeHM+QQNdQTNtGhx0UPnLJyJVlC5oGqjpLK+gcfffAb8zsz2AK8ysF3Czu0+LtXQNJFONZost8jt+443hjTdCjWbs2PKXT0SqqNgaTZ0oaHizu78AfMHMNgbONrMvAg8T5tNIFq2t0NERFmeNVopYsaKwGk17e/hZAwFEGky2oGnW4c3uvsTdf+LuZwCLgEMB9dNkkW5hzUKaztraut53Gggg0mAGD4Yzzgg/N2DTWcl/gbs/7O4nAqPKUJ6GlSlocl3GORLNpdFAAJEG9YlPhPu1a8N9AzWdle0vcPeZ5XquSqn0oprQFTTuhQ8GADWbiTSs1NUBmr3prFFUclHN1KBZsyaEjYJGRICeQaOmMylU1EQWBU2+KzdHFDQiDS5TjUZBI/mKAiVaWLPQoDn4YDjqKNhXF8wWaUzR5XNT+2gaoOmsdi/J1mBSm84KDZo994SHHip/uUSkRqjpTEpVatCISINT05mUSkEjIllp1JmUKjVoor4aBY2IAD37aNR0JoVSjUZEslLTmZSqTx/o169n0OS7MoCINDg1nUk5tLYWP7xZRBqcajRSDsmXClDQiEg3UR+NhjdLKVKDxgz6969umUSkRkQ1mgacsKmgqaDUoGltbYj3kIiUgxn07q2mMylNuqAREXlfS4uazqQ0gwYpaEQki+SgUY1GipE66kxBIyLd9O2rPppGU8kLn0H3prMVKxQ0IpJCTWeNp5IXPgP10YhIDmo6k1KlBo1WBRCRbtIFjZrOpBCtraH5tbNTNRoRSSO5j0ZNZ1KM5IU1FTQi0oOazqRUUVOZgkZE0lLTmZQqCpYVKxQ0IpKGms6kVFGwvPtu+LKioBGRbtLNo1HQSCGiYFmwoPvvIiJAuGhVR0f4WU1nUowoWObP7/67iAjQPWjUdCbFUI1GRLJS05mUKhp1FgWNJmyKSDdRjaajA666KmxT05kUQk1nIpJVFDTXXAOvvhq2qUYjhVDTmYhkFQXNzJld2xQ0UggFjYhk1a9f6KN5992ubQoaKUTv3uF9pKARkbT69g01muSgUR+NFKq1FRYt6vpZROR9UdPZ4sVd21SjkUK1tnYNj1fQiEg3/fqFYc1RswcoaKRw0ZBmMxgwoLplEZEa069fuI+GpoKazqRwUS1m4MCGeP+ISDlFQZNMNRopVBQ0ajYTkR769u25TUEjhYoCRqsCiEgP6Wo0DdD0oaCpMNVoRCQjNZ3VPjMbZGY/MbNHzOyr1S5POgoaEclIQRMvM+tvZm0lPs32wJeAI4EjSi9V+SloRCQjNZ3Fw8x6mdmZwBvAuJTHhpvZRDO7wMxuM7Ndsz2Xu7/o7uuB/YD/ja/UxYv6ZhQ0ItJDgw4G6FPtAgCbAU8AWydvNDMD7gMudfcpZvYE8ICZ7eDunZmezMy2Ac4H9jWzP7r7mhjLXjDVaEQkowZtOqt60Lj7AgDrWT08HNgZaE/s94qZrQMmmNky4Ctpnu6j7j4LONPMfgfsBjwbU9GLoqARkYwatOms6kGTxYHAdHdfm7TtDeAwd78QmJLj+LnAv+MqXLEUNCKSkWo0FTcMWJqybQkwItMBZnYxsBfwe+BBd1+cZd/zgPMAhg4dSnt7e1GFXLFiRUHHzpo1FNiJRYtm0t4+vajXbDaFnmMpjs5zZWQ7z63Tp3fvqAaeePJJvHfv2MsVp1oOmk5gXcq2rNHu7j/K98nd/UbgRoCxY8f6+PHjCy0fAO3t7RRy7Hvvhfudd96W8eO3Leo1m02h51iKo/NcGVnP8/DhPTYdMn58uMZIHavlOtlcIHW488bAf6pQlrKJRp1pZQAR6aFBm85q+S94HNjezJLLOIbE4IB6pT4aEcmoQQcD1ETQpIRJ5GlgJjA+sc8YoBWYXLmSld9GG3W/FxF5X7p5NA2g6n00ZrYF8OnEr6eb2Rx3f9Xd3cxOAL5hZjsB+wLHufvKMr728cDxo0ePLtdT5rTLLnDzzXDccRV7SRGpF+lqNA2g6kGTmEdzVeKW+tjbwJmJX38Rw2tPBiaPHTv23HI/dyZmcNZZlXo1EakrDVqjqYmmMxERAfpU/bt/LBQ0IiISKwWNiIjEqqmDxsyON7Mbly5NXYBARETKpamDxt0nu/t5bW2lXgZHREQyaeqgERGR+CloREQkVgoaERGJVVMHjQYDiIjEr6mDRoMBRETi19RBIyIi8VPQiIhIrBQ0IiISKwWNiIjEqjGXChURqXd33AGzZ1e7FGXR1EFTjQufiYjk5dhjYeDAapeiLJq66UzDm0WkZjXQtWmaOmhERGpWS0u1S1A2ChoRkVoybly4N6tuOcqocepmIiKN4M9/hhkzql2KslKNRkSklrS1wR57VLsUZaWgERGRWCloREQkVk0dNLpMgIhI/Jo6aDSPRkQkfk0dNCIiEj8FjYiIxEpBIyIisVLQiIhIrMzdq12GqjOzhcASIHX4WVse2zYDFsVXupzliev4XPsW83imY1K36xznt0++5zPfbTrPhT2WzzlNt0+lznPc53hbd988r2dyd91C2N5YzDbguWqWMa7jc+1bzOOZjklzTnWO89gn3/OZ7zad5/Kf5wz7VOQ8V/Ic57qp6azL5BK2VUqpr13I8bn2LebxTMekbtc5zm+ffM9nIdsqpVnOc7Oc46zUdFYiM3vO3cdWuxyNTOe4MnSeK6MZz7NqNKW7sdoFaAI6x5Wh81wZTXeeVaMREZFYqUZTAWa2W7XLIFIKvYelFAqamJnZvsAz1S5HozGzFjO7wsxONLMvV7s8jUzv4XiZ2TAz+4OZzTSzb1W7PHFQ0MTM3f8OLKx2OeqBmfU3s3xXOP008La73wMMMrMPxli0pqb3cOEKfC8fCpwK7Aacb2Ybx1ey6lDQZFDgG0VKYGa9zOxM4A1gXMpjw81sopldYGa3mdmuiYf2A15M/PxP4MOVK3F903s7PkW+l+929053Xwa8AqyucLFjp6BJUeQbRUqzGfAEsHXyRjMz4D7gHnefCHwfmGxmfYBhwIrErsuB/GYoNzG9tyui4Peyu69N7LM58Ii7d1S4zLHrU+0C1KBcb5RL3X2KmT0BPGBmOwCHAV9J81wfTXxLkSzcfQFAOMXdHA7sDLQn9nvFzNYBE4DFwKDEfoOo3NIp9azg97a7d1ahnHWryPfyXYl/g+OBH1SssBWkoElRzBvF3e8CplSwmM3iQGB69I0v4Q1CsD9OaNN+AdgdeLTyxasvxX4IVrCIjSzbe/ku4ERgkruvN7Ot3X12NQoZFzWd5S/bGyUjM9sb2NzMjoyzcA1qGD0X9VsCjABuBnYys1MBd/fHKl24BpL1va33cFlkfC+b2QXAT4C/mdkbwJhKFy5uqtHkL9uHXkbu/jzQGlehGlwnsC5lWy+ARJPO5RUvUWPK+t7We7gssr2XJwITK16iClKNJn8Z3ygSm7mEpcqTbQz8pwplaWR6b8evqd/LejPlr6nfKFXyOLC9mSW/T8eQ6EuQstF7O35N/V5W0OSvqd8ocUs5r5GngZnA+MQ+YwhNONVcer0R6b1dRnov96Q+mjTyeKM81mxvlDiZ2RaEmf4Ap5vZHHd/1d3dzE4AvmFmOwH7Ase5+8qqFbbO6b0dL72X09PqzSmS3ihXArcAV7v7q4nHRgHfAP5OeKNc5+7PVqmoIgXRe1uqRUEjIiKxUh+NiIjESkEjIiKxUtCIiEisFDQiIhIrBY2IiMRKQSMiIrFS0IiISKwUNCIiEisFjYiIxEpBI1JhZtZiZoMr+HqbVeq1RNJR0IhUkJltTrhg21ozO9bMXjYzN7Od0+w7wMzeNbOVZvapEl52SzO7sITjRUqioBGpEDNrAW4EfuLuHe7+APBHwoXHPpfmkNMSj/3D3X9V7Ou6+0vALDM7q9jnECmFgkakcr4KPOruyZdNXgfcA3zSzDZK2f844GFC2JTE3e8nLFu/RanPJVIoBY1IBSSuA3M+8FCah38JDATOStp/T+BFYH3K83zKzJ4zs7PM7AUzm29m5yYfZ2ZXmtklZvaImW2fdPjfgTPL91eJ5EdBI1ImZjbazO4ys7PN7B0zG5T08O7AMHd/K82hM4AHgM+amSW2nQPclGbfycA+hEt87AF8H5iYeO1hwETgm+7+fWAxIdwi/wJOLuFPFCmKrrApUj4fAga6+81mtszdVyQ9tg2wNMNxANcRmsmONLOngEHu/p+u3AncfWFi2+OJTT8HvgYcAQwG/ubuUVPbmUDyBaeWAaOK+stESqAajUj53Afsb2ZnuvvdKY/1I6UZLMWfgdcJgwI+AfwmnxdMhMp0YAAhRDzpsTXu3pG0+xpCGIlUlIJGpAzMrK+7zyUExXVmtnHKLrOBtkzHe7jU7S+BY4AJwGMFvPwg4FVgATA+pVyjk37dCJhTwPOKlIWCRqQ8LjIzc/ffAkuAbVMefwlYl2bUVyshKABuAVYBD3vXNdb7Ai1pXq8VwMx2JIxKmwLcBexhZtea2Y5mdgqwY9Ixw4Dni/njREqhoBEpj/HAtWZ2OnCnu7+Q/KC7rwTuBg6MtpnZCcDHgEvNbLS7LwNuIAQOZnZS4nn3NLOzU17vM2Z2BfBN4CR3X594zXOAE4G/ANu4+4NJx+wfPbdIJVnXFycRiZOZbQv8zN1PKPF5HNjO3WcUcMxWwLXAqa7/9FJhqtGIVIi7zwRuLXE5mYjl3iWxY1iR4CLgQoWMVIOCRqSC3P0PwL/MbNNijjezzyR+PCsxbyYfewNXuPvCYl5TpFRqOhMRkVipRiMiIrFS0IiISKwUNCIiEisFjYiIxEpBIyIisVLQiIhIrBQ0IiISKwWNiIjE6v8Dh7hYo/XPZIAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max diff for s = 0.1-100: 0.05810712552280808\n",
      "Max diff for s = 50-250: 0.04866915701294339\n",
      "BAO peak height = max (s^2 xi) for s = 140-160 Mpc: 51.766495710335896\n",
      "Average Delta(s^2 xi) for s = 140-150 Mpc: 0.017704251463336897\n"
     ]
    }
   ],
   "source": [
    "r2xi = np.array(s2*s2*xi_cosmomad2)\n",
    "\n",
    "# plot absolute difference in r^2 xi(r)\n",
    "plt.plot(s1, abs_diff1, 'b-')\n",
    "plt.plot(s2, abs_diff2, 'r-')\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.xlabel(r'$s$ (Mpc)')\n",
    "plt.ylabel(r'$\\Delta (s^2 \\xi(s)) $')\n",
    "plt.grid(which='minor')\n",
    "plt.title('Absolute difference') \n",
    "plt.grid(which='both')\n",
    "#plt.savefig('benchmark_abs.pdf',bbox_inches = 'tight')\n",
    "plt.show()\n",
    "\n",
    "#print abs_diff\n",
    "print(f'Max diff for s = 0.1-100: {np.amax(abs_diff1)}')\n",
    "print(f'Max diff for s = 50-250: {np.amax(abs_diff2)}')\n",
    "apex = np.amax(r2xi[(s2<160)&(s2>140)])\n",
    "print(f'BAO peak height = max (s^2 xi) for s = 140-160 Mpc: {apex}')\n",
    "# find and print the average of Delta(r^2 xi) in the BAO peak region\n",
    "avg_value = np.average(np.array(abs_diff2)[(140<s2) & (s2<150)])\n",
    "print(f'Average Delta(s^2 xi) for s = 140-150 Mpc: {avg_value}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Write benchmark data to file\n",
    "f = open(fname,'w')\n",
    "\n",
    "f.write('#  [0] s (Mpc; comoving), [1] xi(s,z=0.0)' + '\\n')\n",
    "\n",
    "for i in range(len(s1)):\n",
    "    col = []\n",
    "    s = ''\n",
    "    col.append(\"{:.18e}\".format(s1[i]).ljust(27))\n",
    "    col.append(\"{:.18e}\".format(xi_cosmomad1[i]).ljust(27))\n",
    "    s = s + col[0] + col[1] \n",
    "    f.write(s + '\\n')\n",
    "\n",
    "for i in range(len(s2)):\n",
    "    col = []\n",
    "    s = ''\n",
    "    col.append(\"{:.18e}\".format(s2[i]).ljust(27))\n",
    "    col.append(\"{:.18e}\".format(xi_cosmomad2[i]).ljust(27))\n",
    "    s = s + col[0] + col[1]        \n",
    "    f.write(s + '\\n')\n",
    "\n",
    "f.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make some plots of the difference s^2*xi(CCL) - s^2*xi(CosmoMAD) for xi(pi, sigma)\n",
    "def bench_pi_sigma(pi,sigma):\n",
    "    xi = []\n",
    "    for sig in sigma:\n",
    "        xi.append(pcsp.xi_pi_sigma(pi*h,sig*h,1))\n",
    "    return np.array(xi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 200\n",
    "l = 200\n",
    "pi = np.linspace(0,l,N)\n",
    "sigma = np.linspace(0,l,N)\n",
    "\n",
    "X = np.ones([N,N]);\n",
    "for i in range(N):\n",
    "    bench_xi = bench_pi_sigma(pi[i],sigma);\n",
    "    ccl_xi = ccl.correlation_pi_sigma(cosmo,a,beta,pi[i],sigma,True);\n",
    "    #X[i] = np.abs(1 - ccl_xi/bench_xi)\n",
    "    X[i] = np.absolute(ccl_xi - bench_xi) * (pi[i]**2 + sigma[i]**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-l,l,2*N)\n",
    "y = np.linspace(-l,l,2*N)\n",
    "b1 = np.hstack((np.fliplr(X),X))\n",
    "b2 = np.flipud(b1)\n",
    "b = np.vstack((b2,b1))\n",
    "\n",
    "#v = [0.0001,0.0002,0.0005,0.001,0.002,0.005,0.01]\n",
    "v = [0.01,0.02,0.05,0.1,0.2,0.5,1.]\n",
    "plt.figure(figsize = (6,6))\n",
    "CP=plt.contour(x,y,b,v,colors=('r', 'g', 'y', 'c', 'b', 'm', 'k'))\n",
    "plt.clabel(CP, inline=1, fontsize=8)\n",
    "plt.xlabel(r'$\\sigma$ $[\\rm{Mpc}]$',fontsize=22)\n",
    "plt.ylabel(r'$\\pi$ $[\\rm{Mpc}]$',fontsize=22)\n",
    "#plt.grid()\n",
    "#plt.savefig('benchmark1.pdf',bbox_inches = 'tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (6,6))\n",
    "plt.contourf(x,y,b,v,colors=('r', 'g', 'y', 'c', 'b', 'm', 'k'))\n",
    "#plt.clabel(CP, inline=1, fontsize=12)\n",
    "plt.xlabel(r'$\\sigma$ $[\\rm{Mpc}]$',fontsize=22)\n",
    "plt.ylabel(r'$\\pi$ $[\\rm{Mpc}]$',fontsize=22)\n",
    "#plt.grid()\n",
    "#plt.savefig('benchmark2.pdf',bbox_inches = 'tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(7, 7)) \n",
    "ax.set_xlabel(r'$\\sigma$ $[\\rm{Mpc}]$',fontsize=22)\n",
    "ax.set_ylabel(r'$\\pi$ $[\\rm{Mpc}]$',fontsize=22)\n",
    "#csp=plt.contourf(x, y, b, locator=ticker.LogLocator(), cmap=cm.PuBu_r)\n",
    "#cbar = fig.colorbar(csp)\n",
    "\n",
    "plt.contourf(x, y, b, 20, cmap='Blues')\n",
    "plt.colorbar();\n",
    "\n",
    "#plt.savefig('benchmark3.pdf',bbox_inches = 'tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig1 = plt.figure(figsize=(7, 7))\n",
    "ax1 = fig1.add_subplot(111, projection='3d')\n",
    "X, Y = np.meshgrid(x, y)\n",
    "ax1.plot_wireframe(X, Y, b, rstride=10, cstride=10)\n",
    "ax1.set_xlabel(r'$\\sigma$ $[\\rm{Mpc}]$',fontsize=14)\n",
    "ax1.set_ylabel(r'$\\pi$ $[\\rm{Mpc}]$',fontsize=14)\n",
    "#ax1.set_zscale('log')\n",
    "zlimits=ax1.set_zlim(0., 2.)\n",
    "#plt.savefig('benchmark4.pdf',bbox_inches = 'tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
